In every time i've seen other people photo, deeply looking in every detail, lighting, exposure, composition... quality, etc. what photo make you're interest? am i or you or us, already understand and knows about "Composition" on the photo while we made a scenario in our mind then looking into the view finder?
if you become a jury on photo contest, what could be the judgment?
Some suggestions:
1. Read some books and online tutorials about composition. Grab the knowledge.
2. Practice makes perfect. Shoot more and feel the difference between various angles and composition methods of the same scene or object.
3. Try to be innovative. There is no work-for-all rule in it.
The first aspect i would look is the technical feature of the photo, because it gives me the photographer's capacity.. second one is the name of the photo? Does the name express the idea? Then i would look to composition.. But, generally, composition of photos attracts me in the first time i see..